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Finding the Fourth Proportional to 14,107.92, 19,467.88 and 7,733.49

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Solution

The fourth proportional to 14,107.92, 19,467.88 and 7,733.49 is: 10,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.92 : 19,467.88 = 7,733.49 : x
  2. Step 2: Convert to fraction form
    14,107.92/19,467.88 = 7,733.49/x
  3. Step 3: Cross multiply
    14,107.92x = 19,467.88 × 7,733.49
  4. Step 4: Simplify right side
    14,107.92x = 150,554,655.30
  5. Step 5: Solve for x
    x = 150,554,655.30/14,107.92
  6. Step 6: Final answer
    x = 10,671.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.